Congratulations.
I don't take well posed photos either. I paid for a photograher who was really good. She got us to look at each other and look blissfully into the background/horizon for our individual shots, rather that look into the camera.
For small wedding party groups she got us to chat to each other, make toasts, and have a good time.
Then we did some group shots looking at the camera.
I suppose part of the trick is taking many photos, for every 5 or so photos, there is 1 good one. And the great thing about digital cameras these days is that you only print the ones that you like.
Anyway I hope this might help you get some nice wedding shots.